Adam has a rope which is 110 cm long.
He cuts the rope into 3 pieces.
The first piece is 2 times as long as the second piece.
The third piece is 80 cm long.
- Find the total length of the first and third pieces.
- Find the difference in length between the second and the third piece.
(a)
Focus on the sentence with the word '
times'.
Assign 1 u to the variable that is found after the word '
times'.
Length of second piece = 1 u
Length of first piece = 2 u
Length of third piece = 80 cm
Length of the second and the third pieces
= 110 - 80
= 30 cm
2 u + 1 u = 30
3 u = 30
1 u = 30 ÷ 3 = 10
Total length of the first and third pieces
= 2 u + 80
= 2 x 10 + 80
= 20 + 80
= 100 cm
(b)
Difference in length between the second and the third piece
= 80 - 10
= 70 cm
Answer(s): (a) 100 cm; (b) 70 cm